In a random sample of n pairs of values of X and Y,(xi, yj) occurs fij times for i = 1, 2, ... ,r and j = 1, 2, ... , c.Letting fi· denote the number of pairs where X takes onthe value xi and f·j the number of pairs where Y takeson the value yj, write a formula for the coefficient ofcorrelation.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In a random sample of n pairs of values of X and Y,
(xi, yj) occurs fij times for i = 1, 2, ... ,r and j = 1, 2, ... , c.
Letting fi· denote the number of pairs where X takes on
the value xi and f·j the number of pairs where Y takes
on the value yj, write a formula for the coefficient of
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